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1023104196 = 223417772
BaseRepresentation
bin111100111110110…
…101010011000100
32122022011002010000
4330332311103010
54043403313241
6245304401300
734232146032
oct7476652304
92568132100
101023104196
11485574364
12246776230
13133c694ca
1499c43552
155ec46eb6
hex3cfb54c4

1023104196 has 45 divisors (see below), whose sum is σ = 2676102429. Its totient is φ = 340842816.

The previous prime is 1023104189. The next prime is 1023104197. The reversal of 1023104196 is 6914013201.

The square root of 1023104196 is 31986.

It is a perfect power (a square), and thus also a powerful number.

1023104196 is a `hidden beast` number, since 10 + 231 + 0 + 419 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 518472900 + 504631296 = 22770^2 + 22464^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1023104197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 574860 + ... + 576636.

Almost surely, 21023104196 is an apocalyptic number.

1023104196 is the 31986-th square number.

It is an amenable number.

1023104196 is an abundant number, since it is smaller than the sum of its proper divisors (1652998233).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023104196 is an frugal number, since it uses more digits than its factorization.

1023104196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 1023104196 is about 1007.6428368973.

Multiplying 1023104196 by its product of nonzero digits (1296), we get a square (1325943038016 = 11514962).

Adding to 1023104196 its reverse (6914013201), we get a palindrome (7937117397).

The spelling of 1023104196 in words is "one billion, twenty-three million, one hundred four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1777 3554 5331 7108 10662 15993 21324 31986 47979 63972 95958 143937 191916 287874 575748 3157729 6315458 9473187 12630916 18946374 28419561 37892748 56839122 85258683 113678244 170517366 255776049 341034732 511552098 1023104196